Location: BG_RTK @ 337f4e953679 / exposure / exposure_frontpage.rst

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2023-09-26 13:49:51+13:00
Desc:
update picture bounds
Permanent Source URI:
https://models.physiomeproject.org/workspace/b2d/rawfile/337f4e95367975f05f77619783385b9e47c86d9c/exposure/exposure_frontpage.rst

About this model
====================

This is a bond-graph model of the metabolism of generic receptor tyrosine kinase (RTK) in the mammalian cell.

    **INPUTS:** 
        - Ligand (L) stimulus  
        
    **OUTPUTS:** 
        - Change in molar amount of phosphorylated RTK K\ :sub:`2`\ P\ :sub:`n`\ 
        
    **REACTIONS:** 
		- Re\ :sub:`1`\ : the binding of L to one RTK (K\ :sub:`1`)
		- Re\ :sub:`2`\ : formation of temporary complex of two RTK molecules which have dimerized, with ligand present (LK\ :sub:`1` K\ :sub:`2`).
		- Re\ :sub:`3`\ : autophosphorylation of second RTK in the dimer and simultaneous dissociation of dimer.         

Model status
=============

The current CellML implementation runs in OpenCOR.


Model overview
===================

The following model of RTK action is based on what is widely known in literature. 


.. figure:: exposure/BG_image.png
   :width: 100%
   :align: center
   :alt: BG PKACI reaction
   
   Fig. 1. Bond-graph formulation of the generic RTK network. Because this model is generic, :math:`{n}` would change depending on the chosen reaction.

|

For the above bond-graphs, a '0' node refers to a junction where all chemical potentials are the same. A '1' node refers to all fluxes being the same going in and out of the junction.

.. csv-table:: List of chemical species
   :header: "Abbreviation", "Name"
   :widths: 5, 15 
   
   "K", "Receptor tyrosine kinase (RTK)"
   "L", "Ligand"
   "P\ :sub:`i`", "Phosphate"
   
Parameter finding
~~~~~~~~~~~~~~~~~
A description of the process to find bond-graph parameters is shown in the folder `parameter_finder <parameter_finder>`_, which relies on the:

1. stoichiometry of system

2. kinetic constants for forward/reverse reactions

  - If not already, all reactions are made reversible by assigning a small value to the reverse  direction.
  
3. `linear algebra script <https://models.physiomeproject.org/workspace/b2d/rawfile/fd659c74315399c5874252dbf5f279552c9811ff/parameter_finder/kinetic_parameters_RTK.py>`_. 

Here, this solve process is performed in Python.